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Simplifying 2(4x + 7) + -5x + -8 = -38 Reorder the terms: 2(7 + 4x) + -5x + -8 = -38 (7 * 2 + 4x * 2) + -5x + -8 = -38 (14 + 8x) + -5x + -8 = -38 Reorder the terms: 14 + -8 + 8x + -5x = -38 Combine like terms: 14 + -8 = 6 6 + 8x + -5x = -38 Combine like terms: 8x + -5x = 3x 6 + 3x = -38 Solving 6 + 3x = -38 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + 3x = -38 + -6 Combine like terms: 6 + -6 = 0 0 + 3x = -38 + -6 3x = -38 + -6 Combine like terms: -38 + -6 = -44 3x = -44 Divide each side by '3'. x = -14.66666667 Simplifying x = -14.66666667
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